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Finding the Fourth Proportional to 51,075.62, 70,492.74 and 29,850.74

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Solution

The fourth proportional to 51,075.62, 70,492.74 and 29,850.74 is: 41,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,075.62 : 70,492.74 = 29,850.74 : x
  2. Step 2: Convert to fraction form
    51,075.62/70,492.74 = 29,850.74/x
  3. Step 3: Cross multiply
    51,075.62x = 70,492.74 × 29,850.74
  4. Step 4: Simplify right side
    51,075.62x = 2,104,260,453.63
  5. Step 5: Solve for x
    x = 2,104,260,453.63/51,075.62
  6. Step 6: Final answer
    x = 41,198.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.